Wrong again. Clinching a playoff spot means you're in no matter what moves you make, i.e. you can make the worst moves possible (lose every game), and attain the winning outcome. That's *completely* different from what I described.
You might want to go back and reread some of these posts carefully, and maybe read a little game theory.
This type of game theory is not really an appropriate tool to analyze this situation, because it assumes that the parties involved can simply choose outcomes, which is not the case in the game of hockey. If you were to use game theory to look at hockey, you would have look only at outcomes, without looking at the details of what transpires in the game, and assume that the team from which you are analyzing the situation can choose the outcome of each of its remaining games.
If I understand your argument correctly, you are saying that Ottawa can choose to win all of its remaining games, but not necessarily HOW it wins those games, and that as such they have no ability to deny the pens the loser point in their H2H matchup.
If it is reasonable to assume that Ottawa can 'choose' to win all of its remaining games, I don't see why you think it is unreasonable to assume that they win in regulation vs. pittsburgh.
In any case, suppose that the loser point issue did not exist. i.e. Whoever won the pittsburgh ottawa matchup would get in the playoffs (assuming both win out).
What would you say about that situation? It seems like you would have to claim that neither controls their destiny, because if you claim that one has control of their destiny, then you must claim that the other does as well. Since you previously stated that it is impossible for two teams to control their destiny in competing for a single spot, you are forced to deny that either controls their destiny...
Neither do the Pens. But it's not logical to say that both teams are in control of a single playoff spot.
But the Sens don't control that fact, since Pittsburgh is playing in the same game. In game theory, to "control your destiny" would mean your win conditions are independent of anything your opponent does, i.e. for every move your opponent makes you still have a winning strategy. Definitely NOT true in this case. It would be more accurate to say that neither team controls their own destiny.